Strongly λ-convergence of order α in Neutrosophic Normed Spaces
DOI:
https://doi.org/10.56405/dngcrj.2022.07.01.01Keywords:
Neutrosophic normed space, λ-convergence, λ-sequenceAbstract
In this paper, we introduce the concept of strongly λ-convergence of order alpha in the neutrosophic normed spaces. We investigate some fundamental properties of this new concept.
Downloads
References
Aral, N.D. (2022). ρ-statistical convergence defined by a modulus function of order (α,β). Maltepe Journal of Mathematics, 4 (1), 15-23.
Çakallı, H. (2019). A new approach to statistically quasi Cauchy sequences. Maltepe Journal of Mathematics, 1 (1), 1-8.
Bera, T., Mahapatra, N.K. (2017). On neutrosophic soft linear spaces. Fuzzy Informormation and Engineering, 9 (3), 299-324.
Bera, T., Mahapatra, N.K. (2018). Neutrosophic soft normed linear spaces. Neutrosophic Sets and Systems, 23, 52-71.
Kirişci, M., Şimşek, N. (2020a). Neutrosophic metric spaces. Mathematical Sciences, 14, 241-248.
Kirişci, M., Şimşek, N. (2020b). Neutrosophic normed spaces and statistical convergence. The Journal of Analysis, 28, 1059-1073.
Kişi, Ö. (2020). Lacunary statistical convergence of sequences in neutrosophic normed spaces. 4th International Conference on Mathematics: An Istanbul Meeting for World Mathematicians, Istanbul, 2020, 345-354.
Kişi, Ö. (2021a). On I_θ-convergence in neutrosophic normed spaces. Fundamental Journal of Mathematics and Applications, 4(2), 67-76.
Kişi, Ö. (2021b). Ideal convergence of sequences in neutrosophic normed spaces. Journal of Intelligent & Fuzzy Systems, 41 (2), 2581-2590.
Kişi, Ö., Gürdal, V. (2022a). Triple lacunary Δ-statistical convergence in neutrosophic normed spaces. Konuralp Journal of Mathematics, 10 (1), 127-133.
Kişi, Ö., Gürdal, V. (2022b). On triple difference sequences of real numbers in neutrosophic normed spaces. Communications in Advanced Mathematical Sciences, 5(1), 35–45.
Menger, K. (1942). Statistical metrics. Proceedings of the National Academy of Sciences, 28 (12), 535-537.
Mursaleen, M. (2000). λ-statistical convergence. Mathematica Slovaca, 50 (1), 111-115.
Smarandache, F. (2003). A unifying field in logics: Neutrosophic logic. Neutrosophy, Neutrosophic Set. Neutrosophic Probability and Statistics, Phoenix: Xiquan.
Smarandache, F. (2013). Introduction to neutrosophic measure, neutrosophic integral, and neutrosophic probability. Sitech-Education, Columbus, Craiova, 1-143.
Şengül, H., Koyun, Ö. (2019). On (λ,A)-statistical convergence of order α. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 2094-2103.
Şengül, H., Et, M. (2018). On (λ,I)-statistical convergence of order α of sequences of function. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 88 (2), 181-186.
Tok, N., Başarır, M. (2019). On the λ_h^α- Statistical Convergence of the functions defined on the time scale. Proceedings of International Mathematical Sciences, 1 (1), 1-10.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
